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Workbook

REAL NUMBERS


Counting Numbers: C  1,2,3,...


Natural Numbers:  0,1,2,3,.....

Integers:  ...., 3, 2, 1,0,1,2,3,...   


Negative Integers:  ...., 3, 2, 1   

 
Positive Integers:  1,2,3,...

 
   0  

Rational Numbers: A number that can be written as a ratio of two integers is called a rational number
(division by zero is excluded).

 a 
  a,b and b 0 
 b 

a
Numerator
b Denominator

For example following numbers are rational numbers.

2 5 
, , 8 , 0.25 , 0,3
3 7

➢ Every rational number can be matched with a point on number line.

Example 1 : Locate each number on number line.

15 1
a)  4,2 b) c) 
4 3

2 3
Example 2: Find three numbers which are between and on number line.
5 4

NOTE: There exist infinitely many rational numbers between any two different rational numbers. But
number line can not be filled by only these rational numbers.

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